Topological Field Theory and Nonlinear $σ$-Models on Symmetric Spaces

dc.creatorMartina, L.
dc.creatorPashaev, O. K.
dc.creatorSoliani, G.
dc.date1995-06-20
dc.date.accessioned2026-07-25T21:44:05Z
dc.descriptionWe show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to gauge Chern-Simons fields, which are associated with the isotropy subgroup of the considered symmetric space. Moreover, they can be related to certain (integrable and non-integrable) evolution systems, as the Ishimori and the Heisenberg model. The main classical and quantum properties of these systems are discussed in connection with the topological field theory and the condensed matter physics.
dc.descriptionLaTeX format, 31 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9506130
dc.identifierhttp://arxiv.org/abs/hep-th/9506130
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/82357
dc.subjectHigh Energy Physics - Theory
dc.titleTopological Field Theory and Nonlinear $σ$-Models on Symmetric Spaces
dc.typetext

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